Please download the timetable for 2nd PUC annual exam 2010.

All the best,

ಇದು ಕನ್ನಡನಾಡಿನ ಪಿ.ಯೂ.ಸಿ ವಿದ್ಯಾರ್ಥಿಗಳಿಗಾಗಿ

Please download the timetable for 2nd PUC annual exam 2010.

All the best,

Please download from the link below:

HERE IS THE SOLUTIONS AND KEY ANSWERS FOR COMMON ENTRANCE TEST 2010 IN PHYSICS

PREPARED BY: ROOPESH KUMAR IK, LECTURER IN PHYSICS

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Here is key answers with solutions for KARNATAKA COMMON ENTRANCE TEST -2010

in mathematics

**SUGGESTIONS TAKEN FROM :**

** D. SUCHINDRA ,**

** KH VASUDEVA, **

**SHRI GANACHARI M, **

**SHRI SEETHARAM SHETTIGAR**

DOWNLOAD:

THIS ARTICLE IS FOR THE STUDENTS WHO ARE IN LAST MINUTE PREPARATION.

It is very difficult to mention important questions in mathematics. Because the direct questions what everybody list as important questions in other subjects will not appear in mathematics.

But patron of the questions will be same as in previous year question papers. practicing problems of previous year questions is enough to prepare for Mathematics.

If u are selecting, complete the following areas:

**ALGEBRA**

**Matrices and determinants: **

a)Solving the simultaneous equation by cramer’s rule and matrix method

b)Statement of cayley Hamilton theorem and finding inverse of matrix and verifying cayley Hamilton theorem

**Vectors**

a)Application of vectors like: proving sine rule, projection rule, cosine rule, compound angle formulae, angle in a semicircle is right angle by vector method

b)Problems on scalar triple product and vector triple product.(standard problems)

c)Find the projection of one vector to another vector , find the sine or cosine of angle between the vectors, unit vector in the direction of vector,

**Groups**

a)Proving a particular set forms an abelian group like Show that a*b=a+b-ab forms an abelian group, Show that G={5^n, (integral multiples of 5) } forms an abelian group etc refer topic wise questions in mathematics in this website.

**Elements of Number theory :**

**a)F**inding GCD of two numbers and representing them as a linear combination of x and y and showing x and y is not unique

b)Find the number and sum of divisors

c)Finding the last digit or unit digit, solving linear congruence.

**TRIGONOMETRY**

** **

**INVERSE TRIGONOMETRIC FUNCTIONS:**

a)problems on use of formula tan^-1 x + tan^1 y= tan^1(x+y/1-xy) etc

**GENEREAL SOLUTION OF TRIGONOMETRIC EQUATION**

a)GS of trignometric equation of the form acosx+bsinx=c

b)GS by using FORMULA OF CONVERTING sum of trigonometric functions into product or product into sum

C**OMPLEX NUMBERS**

a)State and prove Demoivre’s theorem

b)problems on this, see topic wise questions in this website.

**CIRCLES**

a)all derivations: equation of tangent, condition of orthogonality, finding length of tangent, condition for the line y=mx+c to be tangent to to circle x^2+y^2 =a^2

b)problems on orthoganal circles, and finding equation of circle by finding g, f and c using conditions in the given problem.

**CONIC SECTION:**

a) all derivations: Derivation of parabola, ellipse and Hyperbola

b)problems on finding centre , focus, directrix and ends of Latus rectum of parabola , ellipse and Hyperbola,

c)Definition of rectangular hyperbola, director circle, auxilary circle and its equations

**DIFFERENTIATION:**

a)problems on differentiation from first principles: no need to solve differentiation of inverse trigonometric function by first principles and some problems like root sinx, sinrootx etc.

b)problem on successive differentiation, logarithmic differentiation , parametric differentiation

implicit differentiation (refer topic wise questions- it contains limited number of questions).

**APPLICATION OF DERIVATIVES**

a)Problems on Derivative as a rate measure, problems on finding maxima and minima involving 2 dimensions figure only( Don’t go for problems on finding maxima and minima involving figures like , sphere, cylinder, etc)

b)Angle of intersection between two curves: like: If ax^2+by^2=1 and Ax^2+By^2=1 cut each other orthogonally , show that 1/a-1/b=1/A-1/B

I**NDEFINITE INTEGRAL:**

a)problems on forms of integral, all types

**DEFINITE INTEGRAL**

Proving some properties of definite integral, and problems using definite integral.

**AREA UNDER A CURVE**

See topic wise questions in this website.

**DIFFERENTIAL EQUATION**

a)Finding order and degree of Differential equation.

b)Solving Differential equations by variable separable method (see topic wise questions)

**At last:**

Finding GCD of two numbers, and representing them as linear combination or finding sum and number of divisors 5 MARKS

Solving simultaneous linear equations by matrix method, cramer’s rule, finding inverse and verifying matrix by using cayley Hamilton theorem. 5 marks

Groups : Showing a set forms a group : 5 marks

**Definition of ellipse , hyperbola, parabola as a locus and Derivation of parabola, ellipse , hyperbola in standard form in conic section ** (Important) or all derivations in conic section like condition for the line y =mx+c to be tangent to parabola, ellipse, hyperbola including problem etc 6 marks

Problems on differentiation from first principles: 3 marks

Complex numbers: problems on demovires theorem

and its proof : 6 marks

Vectors: Application of vectors or problems 4 marks

Problems on Derivative as a rate measure , angle of intersection between two curves, maximal and minima (application of derivative problems) : 6 marks

Finding Area under a curve 5 marks

Proving some important properties of Definite integral and problem on this 6 marks

And so on……………………………………………………………………..

Count the marks you will get more than 35 marks

So it is easy to prepare for mathematics examination .

Excuse for spelling and grammatical mistakes

so

BEST OF LUCK .

FROM

VASUDEVA KH

VYBHAV G.R.

ಪ್ರಿಯ ವಿದ್ಯಾರ್ಥಿಗಳೇ,

ಇಲ್ಲಿ biology ವಿಷಯಕ್ಕೆ ಸಂಬಂಧಿಸಿದ ಹಲವು **” ಮುಖ್ಯ ಪ್ರಶ್ನೆ”**ಗಳ ಪಟ್ಟಿಯಿದೆ. ಈ ಪ್ರಶ್ನೆ ಕೋಶ “ನಿಧಾನಗತಿಯ ಕಲಿಕೆ”ಯಿರುವ ವಿದ್ಯಾರ್ಥಿಗಳಿಗೆಂದು ರೂಪಿಸಲಾಗಿವೆ.

ಈ ಪ್ರಶ್ನೆಕೋಶ ವಿದ್ಯಾರ್ಥಿಗಳು ಪಾಸಾಗಲು ಸಹಾಯ ಮಾಡಬಹುದು.

**ಹೆಚ್ಚಿನ ಅಂಕಗಳಿಕೆಗೆ ಪೂರ್ಣ ಪಠ್ಯಕ್ರಮ{syllabus}ವನ್ನು ಅಭ್ಯಸಿಸಬೇಕಿದೆ.**

ಇದನ್ನು ವಿದ್ಯಾರ್ಥಿಗಳು ಗಮನಿಸಲು ಕೋರಿದೆ.

ಪ್ರಿಯ ವಿದ್ಯಾರ್ಥಿಗಳೇ,

ಇಲ್ಲಿ physics ವಿಷಯಕ್ಕೆ ಸಂಬಂಧಿಸಿದ ಹಲವು **” ಮುಖ್ಯ ಪ್ರಶ್ನೆ”**ಗಳ ಪಟ್ಟಿಯಿದೆ. ಈ ಪ್ರಶ್ನೆ ಕೋಶ “ನಿಧಾನಗತಿಯ ಕಲಿಕೆ”ಯಿರುವ ವಿದ್ಯಾರ್ಥಿಗಳಿಗೆಂದು ರೂಪಿಸಲಾಗಿವೆ.

ಈ ಪ್ರಶ್ನೆಕೋಶ ವಿದ್ಯಾರ್ಥಿಗಳು ಪಾಸಾಗಲು ಸಹಾಯ ಮಾಡಬಹುದು.

**ಹೆಚ್ಚಿನ ಅಂಕಗಳಿಕೆಗೆ ಪೂರ್ಣ ಪಠ್ಯಕ್ರಮ{syllabus}ವನ್ನು ಅಭ್ಯಸಿಸಬೇಕಿದೆ.**

ಇದನ್ನು ವಿದ್ಯಾರ್ಥಿಗಳು ಗಮನಿಸಲು ಕೋರಿದೆ.

CONTRIBUTED BY

SHRI K MANJAPPA, LECTURER IN PHYSICS

THANKS TO SHRI K MANJAPPA, lecturer.

**TIME MANAGEMENT IN MATHS EXAM}**

Sun, 02/28/2010 – 23:56 | aravind

TIME MANAGEMENT IN MATHS EXAM

“I knew answer for all questions but I did not get sufficient time to answer”. These are the words students usually utter once they come out of the exam hall! Some students even say “ I knew every thing but i had written only for 80-90 marks” . Some students may write only for 50-60marks, even if they are prepared very well. Why this happens ? how this happens ? can it be avoided?

YES!

These can be avoided (100%) just by proper time management and by selecting the proper questions

Scoring in exam depends not only on your preparation but also on your mind set, time management, proper selection of questions and precise answering.

Now here are some advice to students

DURING THE EXAM DAY:

Arrive at the exam center 30 minutes early. Find your register number, the allotted room .Compose yourself. Consciously relax and take a few deep breaths. **Think of your reward after the EXAM is completed. Be confident! Think positively**

1. Remember ,,, P.U. Department has given an opportunity to select proper questions with out wasting your 180 minutes, by providing extra 15 min for reading the question paper. **In this 15 min of time go through the question paper and gauze or identify the easy questions which can be solved in lesser time .** .while doing this don’t write or mark anything on the question paper except your register number.

2. Start looking at the question paper from question no 1. DECIDE the question IN WHICH U R CONFIDENT OF ANSWERING AND also decide about the questions which you cannot answer. Solve the problems for which you know the answers partially at the end.

3. Here I have given average time for attending each question but **you may follow other known methods also**. But the questions in which you are confident should be solved in less time ( say for attending 5 mark question u may need 5-6 min but it should be solved with in 4 min) so, remaining time can be utilized to try some lengthy or known questions

**PART A: (1 MARK): MAX TIME: 15-20MINUTES(TEN QUESTIONS)**

**PART B: (2 MARK): MAX TIME: 40 MINUTES(ANY TEN QUESTIONS)**

**PART C: (5 MARK): MAX TIME: 56 MINUTES( EIGHT QUESTIONS)**

**PART D: (10 MARK): MAX TIME: 26 MINUTES(ANY TWO)**

**PART E: (10 MARK): MAX TIME: 18 MINUTES (ANY ONE)**

**TOTAL: MAX TIME: 160 MINUTES OUT OF 180 MINUTES**

So you have 20 -30 minutes left if you complete problems in the above method. After finishing answering of all required known questions, go through it rapidly. then in the remaining time you can attend extra questions either in part B or in Part C (where you have doubts) or other wise you can revise and recheck the answered one, once again.

There are many students who will able to complete all prescribed questions within two hour.

7. It always better to attend questions on proof( provided you know well), in sub groups, circles, conics , complex number, vectors,) and It is better to avoid questions which is having figure in circles and conics to save time . Remember your sketch should be clear. You will get ZERO if u don’t write the correct figure especially in derivations in conic section and circles.

For example: In part D if u have questions on a) derivation in conic section b)problem on application of differentiation c) problem on complex numbers , It is better to choose ‘b’ and ‘c’ instead ‘ a’

8.If they asked the questions of type differentiate cosecx, secx, tan^-1x, cot^-1 x, and other inverse trigonometric functions (IN MY VIEW , ACTUALLY QUESTIONS on DIFFERENTIATING INVERSE FUNCTIONS FROM FIRST PRINCIPLES SHOULD NOT BE ASKED AS PER RECENT SYLLABUS, STILL SOME ARE ASKING ABOUT SUCH QUESTIONS FOR JUST 3 MARKS ,) In that case it is better to leave differentiate from First principle , attempt some other question( from choice,if u know) as it time is consuming, if don’t know any other then u have to attend it.

9. Now take up the questions u know how to do but it take little time to think and solve ,attempt those questions now and if u don’t get the exact solutions just think for 1 min and leave that question and attend other question. don’t waste your valuable time in solving single unknown problem

10. Don’t change your plan at any cost that to in exam hall, which may lead you to confusion

11.If possible , Day before the exam take 2-3 question paper ( take 2march, 1July supplementary exam)and allot 15 min of time and select the questions as stated above (no need to solve the paper just to practice).

12.**On the exam day after u wake up imagine u r self as a good math teacher and say with confidence that , in exam i will solve the questions that i have studied.**

TRY TO FOLLOW ABOVE METHOD IF U LIKE

**WISH U A HAPPY PROBLEM SOLVING**

**FROM **

VASUDEVA KH

VYBHAV G.R.

ಪ್ರಿಯ ವಿದ್ಯಾರ್ಥಿಗಳೇ,

ಕರ್ನಾಟಕದ ಎಲ್ಲ ಉಪನ್ಯಾಸಕರ ಪರವಾಗಿ

ದ್ವಿತೀಯ ಪಿ.ಯು.ಸಿ ಪರೀಕ್ಷೆಯಲ್ಲಿ ನಿಮಗೆಲ್ಲರಿಗೂ ಶುಭವಾಗಲಿ ಮತ್ತು ನಿಮ್ಮ ನಿರೀಕ್ಷೆಗಳೆಲ್ಲ ನಿಜವಾಗಲಿ ಏಂದು ಹಾರೈಸುತ್ತೇವೆ.

ಅರವಿಂದ್, ರವಿ,ವಾಸುದೇವ,ಸುಧೀಂದ್ರ ಹೆಬ್ಬಾರ್, ಗಣಾಚಾರಿ…………..